A generalized (frac(G′, G))-expansion method for the mKdV equation with variable coefficients

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 372, Issue 13, 2008, Pages 2254-2257

  Zhang, Sheng ^a   Tong, Jing Lin ^a   Wang, Wei ^a  

^a BOHAI UNIVERSITY   (China)

Author keywords

Generalized (frac(G , G)) expansion method; Hyperbolic function solution; Nonlinear evolution equations; Rational solution; Trigonometric function solution

Indexed keywords

HYPERBOLIC FUNCTIONS; KORTEWEG-DE VRIES EQUATION; RATIONAL FUNCTIONS; SOLITONS;

EXACT SOLUTION; EXPANSION METHODS; KINK-TYPE SOLITARY WAVES; MATHEMATICAL PHYSICS; NONLINEAR EVOLUTION EQUATION; RATIONAL SOLUTION; TRIGONOMETRIC FUNCTION SOLUTIONS; VARIABLE COEFFICIENTS;

NONLINEAR EQUATIONS;

EID: 39849101219     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.11.026     Document Type: Article

References (55)

1. M.J. Ablowitz P.A. Clarkson Soliton, Nonlinear Evolution Equations and Inverse Scattering 1991 Cambridge Univ. Press New York
2. R. Hirota Phys. Rev. Lett. 27 1971 1192
3. M.R. Miurs Backlund Transformation 1978 Springer Berlin
4. J. Weiss M. Tabor G. Carnevale J. Math. Phys. 24 1983 522
5. C.T. Yan Phys. Lett. A 224 1996 77
6. M.L. Wang Phys. Lett. A 213 1996 279
7. M. El-Shahed Int. J. Nonlinear Sci. Numer. Simul. 6 2005 163
8. J.H. He Int. J. Nonlinear Sci. Numer. Simul. 6 2005 207
9. J.H. He Chaos Solitons Fractals 26 2005 695
10. J.H. He Int. J. Nonlinear Mech. 34 1999 699
11. J.H. He Appl. Math. Comput. 114 2000 115
12. J.H. He Chaos Solitons Fractals 19 2004 847
13. J.H. He Phys. Lett. A 335 2005 182
14. T.A. Abassy M.A. El-Tawil H.K. Saleh Int. J. Nonlinear Sci. Numer. Simul. 5 2004 327
15. E.M.E. Zayed H.A. Zedan K.A. Gepreel Int. J. Nonlinear Sci. Numer. Simul. 5 2004 221
16. H.A. Abdusalam Int. J. Nonlinear Sci. Numer. Simul. 6 2005 99
17. S. Zhang T.C. Xia Commun. Theor. Phys. 45 2006 985 (Beijing, China)
18. S. Zhang T.C. Xia Appl. Math. Comput. 181 2006 319
19. S. Zhang Chaos Solitons Fractals 31 2007 951
20. A.M. Wazwaz Phys. Lett. A 350 2006 367
21. J.Q. Hu Chaos Solitons Fractals 23 2005 391
22. Y. Chen Q. Wang B. Li Commun. Theor. Phys. 42 2004 655 (Beijing, China)
23. E. Yomba Chaos Solitons Fractals 27 2006 187
24. S. Zhang T.C. Xia Phys. Lett. A 356 2006 119
25. S. Zhang T.C. Xia Appl. Math. Comput. 182 2006 1651
26. S.K. Liu Z.T. Fu S.D. Liu Q. Zhao Phys. Lett. A 289 2001 69
27. Z.T. Fu S.K. Liu S.D. Liu Q. Zhao Phys. Lett. A 290 2001 72
28. E.J. Parkes B.R. Duffy P.C. Abbott Phys. Lett. A 295 2002 280
29. J.B. Liu K.Q. Yang Chaos Solitons Fractals 22 2004 111
30. S. Zhang Phys. Lett. A 358 2006 414
31. S. Zhang Chaos Solitons Fractals 30 2006 1213
32. S. Zhang Chaos Solitons Fractals 32 2007 847
33. S. Zhang Chaos Solitons Fractals 32 2007 1375
34. S. Zhang T.C. Xia Appl. Math. Comput. 183 2006 1190
35. S. Zhang Appl. Math. Comput. 189 2007 836
36. M.A. Abdou Chaos Solitons Fractals 31 2007 95
37. Sirendaoreji J. Sun Phys. Lett. A 309 2003 387
38. S. Zhang T.C. Xia Phys. Lett. A 363 2007 356
39. S. Zhang T.C. Xia J. Phys. A: Math. Theor. 40 2007 227
40. S. Zhang Appl. Math. Comput. 188 2007 1
41. S. Zhang Phys. Lett. A 368 2007 470
42. J.H. He X.H. Wu Chaos Solitons Fractals 30 2006 700
43. J.H. He M.A. Abdou Chaos Solitons Fractals 34 2006 1421
44. S. Zhang, Application of Exp-function method to high-dimensional nonlinear evolution equation, Chaos Solitons Fractals, doi: 10.1016/j.chaos.2006.11.014 , in press
45. A. Ebaid Phys. Lett. A 365 2007 213
46. X.H. Wu, J.H. He, Exp-function method and its application to nonlinear equations, Chaos Solitons Fractals (2007), doi: 10.1016/j.chaos.2007.01.024 , in press
47. S. Zhang Phys. Lett. A 365 2007 448
48. S. Zhang, Exact solutions of a KdV equation with variable coefficients via Exp-function method, Nonlinear Dynam. (2007), doi: 10.1007/s11071-007-9251-0 , in press
49. J.F. Zhang C.Q. Dai Q. Yang J.M. Zhu Opt. Commun. 252 2006 408
50. C.Q. Dai J.M. Zhu J.F. Zhang Chaos Solitons Fractals 27 2006 881
51. Q. Liu J.M. Zhu Phys. Lett. A 352 2006 233
52. M.L. Wang X.Z. Li J.L. Zhang Phys. Lett. A 372 2007 417
53. S.D. Zhu Int. J. Nonlinear Sci. Numer. Simul. 8 2007 461
54. S.D. Zhu Int. J. Nonlinear Sci. Numer. Simul. 8 2007 465
55. S.D. Zhu Phys. Lett. A 372 2007 654